For a free scalar field on the Moyal plane, if the source couples to the twist-dressed field, the prepared two-particle state yields a maximal CHSH value S = 2 sqrt(1 + sin^2(chi/2)), exceeding 2 whenever the invariant momentum phase chi is nonzero.
(A54) gives ˆϕθ(x) = ˆϕ0(x) exp 1 2 ← −∂ µθµνPν .(A56) The derivative in this expression acts only on the field ˆϕ0(x), whileP ν acts on the Fock space
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Bell nonlocality from twisted statistics
For a free scalar field on the Moyal plane, if the source couples to the twist-dressed field, the prepared two-particle state yields a maximal CHSH value S = 2 sqrt(1 + sin^2(chi/2)), exceeding 2 whenever the invariant momentum phase chi is nonzero.